Each of 5 gift bags contains X pencils.Tyler add 3 more pencil to each bag.together the gift pack contain 20 pencils.

Answer:

a) 4d + 18

b) 38 inches

Step-by-step explanation:

a) The perimeter is simply the sum of all the exterior side lengths.

On the top, we've got d and d + 3.

On the left side, we have 2 and an unknown. However, we do know that this "unknown" + 2 will be the same length as the right side, which is 6. So, we have 2 + unknown = 6; hence, the unknown = 4.

The bottom is the same length as the top two lengths, so it's:

d + (d + 3) = 2d + 3

And, the right side is 6.

Adding these together, we have:

d + (d + 3) + 2 + 4 + d + (d + 3) + 6 = 4d + 18

b) We just need to substitute 5 in for d:

4d + 18

4 * 5 + 18 = 20 + 18 = 38 inches

AnswerAnswer:

a) 4d + 18

b) 38 inches

Step-by-step explanation:

a) The perimeter is simply the sum of all the exterior side lengths.

On the top, we've got d and d + 3.

On the left side, we have 2 and an unknown. However, we do know that this "unknown" + 2 will be the same length as the right side, which is 6. So, we have 2 + unknown = 6; hence, the unknown = 4.

The bottom is the same length as the top two lengths, so it's:

d + (d + 3) = 2d + 3

And, the right side is 6.

Adding these together, we have:

d + (d + 3) + 2 + 4 + d + (d + 3) + 6 = 4d + 18

b) We just need to substitute 5 in for d:

4d + 18

4 * 5 + 18 = 20 + 18 = 38 inches

Step-by-step explanation:

By multiplying the individual probabilities of being a music student and being on the honor roll and then multiplying by the total on the honor roll, we find the expected number of music students on the honor roll to be 16.

To determine the expected number of music students who are also on the honor roll, we can use the concept of expected value in probability.

Assuming that being a music student and being on the honor roll are independent events, we can multiply the probability of a student being a music student by the probability of a student being on the honor roll.

The probability of randomly selecting a music student from the 300 students is the number of music students divided by the total number of students, P(Music) = 50/300.

The probability of a student being on the honor roll is P(Honor Roll) = 97/300. So, the expected number of music students on the honor roll would be the product of these two probabilities times the total number of students on the honor roll, which the school estimates to be 360.

The calculation: Expected number = [tex]P(Music) \(\times\) P(Honor Roll) \(\times\) Total Honor Roll = (50/300) \(\times\) (97/300) \(\times\)[/tex]

Answer:

it's linear because the line doesn't go through the origin

Step-by-step explanation:

i know that bc it says. +1

hope this helps!

Answer:

neap tide

Step-by-step explanation:

Answer:neap tide is the correct one

Step-by-step explanation:

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

I'm assuming you mean the function [tex]f(x)=x^{\frac{1}{5}}[/tex].  That's usually written

f(x) = x^(1/5) with the ^ meaning "to the power of..." and the fraction exponent in parentheses so as not to be confused with x^1/5 which could mean x to the first power, divided by 5.

Fractional exponents are used to indicate roots.  In this case, x is being raised to the 1/5 power, so this is the fifth root of x, written [tex]\sqrt[5]{x}[/tex].  The 5 is called the root index.

For odd roots, like this one, the domain is all real numbers--x can be any number at all.  So the domain is all real numbers.

The range is also all real numbers.  Attached is a graph of this function. It might not look like it, but the graph rises to the right to any height.  The larger x gets, the larger the 5th root gets.  A similar thing happens on the left--the smaller x gets, the smaller the 5th root gets.

EDIT: see the comment.  For the function [tex]f(x)=(1/5)^x[/tex], the domain is all real numbers. The range is positive real numbers.  I'll attach a graph!

Answer:

b = y intercept

Step-by-step explanation:

y = mx +b

This is the slope intercept form of a line

The m is the slope and the b is the y intercept

Answer:

C.

invest in a joint insurance and retirement plans

Step-by-step explanation:

this would be the obvious answers because there no risks that would compromise their future

Answer:

1184.5

Step-by-step explanation:

150+400+180+300=1030

1030 × 15% = 154.5

(15% is also 0.15)

1030 + 154.5 = 1184.5

I hope this helps you :)

Final answer:

The cartoon lasts 30 minutes, and the movie is six times longer, adding up to 210 minutes to watch both.

Explanation:

The subject at hand is the duration it takes to watch a cartoon and a movie. The cartoon lasts half an hour (30 minutes), while the movie is six times longer than the cartoon. To find the duration of the movie, we multiply its relative length by the duration of the cartoon. So, 6 times 30 minutes is 180 minutes. To calculate the total time to watch both the cartoon and the movie, we add the two durations together. Therefore, 30 minutes for the cartoon plus 180 minutes for the movie equals 210 minutes in total.

The factor of the expression 12x³ – 9x² will be 3x² and (4x – 3).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 12x³ – 9x²

Then the factor of the expression will be

⇒ 3x²(4x – 3)

More about the factorization link is given below.

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Answer: B

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer: $29.10

Step-by-step explanation: 10.20 + 18.90 = $29.10

Answer:

1

Step-by-step explanation:

To solve the equations, subtract the given number from the sum on the left side of the equation to find the missing number. For the arithmetic expression, perform the operations in order.

In the first equation, you must find a number that, when added to 9, equals 10. To do this, subtract 9 from 10, which gives you 1. Therefore, the missing number is 1.

In the second equation, you need to find a number that, when added to 1, equals 10. Subtract 1 from 10 to get 9. So, the missing number is 9.

In the last equation, you simply need to perform the arithmetic operations in order: 200 + 500 = 700, 700 + 2000 = 2700, and finally 2700 - 3000 = -300. Therefore, the result of the expression 200 + 500 + 2000 - 3000 is -300.

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Answer:

It is 5.84 units away from the origin.

Step-by-step explanation:

[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}} [/tex]

Therefore:

[tex]d = \sqrt{ {(5 - 0)}^{2} + {(3 - 0)}^{2} } \\ d = \sqrt{ {5}^{2} + {3}^{2} } = \sqrt{25 + 9} \\ d = \sqrt{34} = 5.83951...[/tex]

Final answer:

The distance from point E(5,3) to the origin is calculated using the Pythagorean theorem, resulting in \/34 units.

Explanation:

The question asks how far point E(5,3) is from the origin. To find the distance between a point and the origin in a Cartesian coordinate system, we use the Pythagorean theorem. Specifically, the distance ( extit{d}) can be calculated using the formula  extit{d} = \/((x_2 - x_1)² + (y_2 - y_1)²), where ( extit{x_1},  extit{y_1}) represents the coordinates of the first point (in this case, the origin (0,0)) and ( extit{x_2},  extit{y_2}) represents the coordinates of the second point (in this case, point E(5,3)).

Plugging in the values, we get  extit{d} = \/((5 - 0)² + (3 - 0)²) = \/(5² + 3²) = \/(25 + 9) = \/34. The exact distance between point E and the origin is \/34 units, which can also be approximated as a decimal if necessary.

Answer: this answer is 130

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: Game land sells 20 crayons for 5 cents less.

Step-by-step explanation:

Hi, to answer this question we have to calculate the price per crayon in each store, by dividing the amount paid in each case by the number of crayons that each store offers.

Toy world (T): 25/4 = 6.25 cents per crayon

Game land (G): 30/5 = 6 cents per crayon

Now, we have to multiply the cost per crayon by 20.

T=6.25 x 20 = 125 cents  

G=6 x 20 =120 cents

So, comparing both costs, Game land sells 20 crayons for 5 cents less.

125-120 = 5 cents

Final answer:

GameLand sells 20 crayons for $1.20, which is 5 cents cheaper than ToyWorld's price of $1.25 for the same quantity. Linda saves money by purchasing from GameLand.

Explanation:

To determine which store sells 20 crayons for less, we need to calculate the total cost of 20 crayons at each store. At ToyWorld, crayons are sold at 4 for 25 cents. To buy 20 crayons, Linda would need 5 sets of 4 crayons, since 20 divided by 4 equals 5. Each set costs 25 cents, so the total cost at ToyWorld would be 5 sets times 25 cents, which equals $1.25.

At GameLand, crayons are sold at 5 for 30 cents. To get 20 crayons, Linda would need 4 sets of 5 crayons. The total cost at GameLand would be 4 sets times 30 cents, which equals $1.20.

Comparing the two totals, Linda would spend $1.25 at ToyWorld and $1.20 at GameLand, so GameLand sells 20 crayons for 5 cents less than ToyWorld.

Answer:

2) y = x + 2

3) slope: height increases by 1 unit per unit increase in x

Intercept: initial height (at birth) was 2 units

Step-by-step explanation:

Using (38,40) and (48,50)

Slope: (50-40)/(48-38)

= 10/10

= 1

y = mx + b

y = x + b

40 = 38 + b

b = 2

y = x + 2

Answer:

see below

Step-by-step explanation:

There are (60,61) and (20,23) are the points that I used to find the slope for the line of best fit

m= (y2-y1)/(x2-x1)

m = (23-61)/(20-60)

   = -38/-40

   = .95

We use the slope intercept form of the equation

y= mx+b

y = .95x+b

Substituting in the point (20,23)

23 = .95(20) +b

23 = 19+b

Subtracting 19 from each side

23-19 = 19+b-19

4 =b

The equation is

y =.95x+4

The slope is how much y changes for each change in x.  You did not tell us what the units of x and y are.

The y intercept is what the y value is when x is zero.  The y value  is 4 when x is zero

Answer:

C = 73

Step-by-step explanation:

Formula used: a²+b²=c²

A and B represent the numbers other than the hypotenuse, so C equals the hypotenuse. It doesn't matter which number you put as A or B. Here's the equation we're working with:

(55)² + (48)² = C²

That simplifies to:

3025 + 2305 =C²

5329 = C²

Now, C needs to be by itself in order for us to get the answer, so the next step is to do inverse operations. The inverse of sqauring a number (x²) is to square root it (√x). Here is the new equation we are working with:

√5329 = √C

That simplifies to:

73 = C

Hope this is correct!

Answer: 5409.828

Step-by-step explanation: calculator

Answer:

81 inches squared

Step-by-step explanation:

You just multiply the area by the hight and get your answer

Answer: x^2 (x + 11) - 3 (x + 11)

Answer:

Answer: x^2 (x + 11) - 3 (x + 11)

Step-by-step explanation:

Edge

Answer:

The mean is the balancing point of the swimmers' ages.

Step-by-step explanation:

I just took the I-Ready Quiz and got it correct. :D

The mean in mathematics refers to the average of a set of given numbers. Mean is commonly referred to as average.

Mean is the average number, which is calculated by the formula:

[tex]\rm mean = \dfrac{sum\; of\; all\; the\; given\; numbers}{\text{total observation}}[/tex]

For instance, the mean age of swimmers is 10, which means that the average age of all the swimmers is 10. The age of each swimmer can be near to 10, as 9, 10, 11, or 12.

Given the ages of swimmers are:

[tex]\text{mean} = \dfrac{10 + 10 + 11 + 9}{4}\\\text{mean} = \dfrac{40}{4}[/tex]

mean = 10

Thus, the mean of the given data is 10.

To know more about the mean, refer to the following link:

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Answer:

4

Step-by-step explanation:

(x+2)^2+(y-3)^2=4

From this equation, we can find the radius of this circle.

(x+2)^2+(y-3)^2= 2^2

radius = 2

diameter = 2*radius = 2*2 = 4

Answer:

  x-intercept(s): ( 4, 0)

  y-intercept(s): ( 0, -14)

The three-dimensional object formed when the shape is rotated about the axis is a cone.

A cone is a solid which tapers from a circular base to a point. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

here, we have,

we know that,

When a right triangle is rotated about an axis, a cone is formed.

Find the attached figure to visualize the rotation.

Rotation of the base AB of the right triangle results in the circular base of the cone while rotation of hypotenuse AC results in the lateral surface of the cone.

Hence, The three-dimensional object is formed when the shape is rotated about the axis is a cone.

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Answer:

- The price of a soccer ball is $14.5

- The price of a soccer bag is $5

Step-by-step explanation:

To solve this problem, we call:

s = the price of a single soccer ball

b = the price of a soccer bag

We have:

1) A soccer coach purchases 10 soccer balls and 2 soccers bags for $155: so we can write

[tex]10s+2b=155[/tex] (1)

2) Another scorer coach purchases 12 soccer balls and 3 soccer bags for $189: so we can write

[tex]12s+3b=189[/tex] (2)

So we have a system of two equations in two unknown variables:

[tex]10s+2b=155\\12s+3b=189[/tex]

We solve it by multiplying eq.(1) by 3 and eq(2) by 2, and we get:

[tex]30s+6b=465\\24s+6b=378[/tex]

Now we substract eq(2) from eq(1) and we get:

[tex]6s=87[/tex]

So

[tex]s=\frac{87}{6}=14.5[/tex]

And by using eq(1) we also find the value of b:

[tex]10s+2b=155\\b=\frac{155-10s}{2}=\frac{155-10(14.5)}{2}=5[/tex]

So:

- The price of a soccer ball is $14.5

- The price of a soccer bag is $5

To solve this problem, we can set up a system of equations and use the elimination method to find the values of x and y. The cost of a soccer ball is $14.5 and the cost of a soccer bag is $5.

To solve this problem, we can set up a system of equations. Let's use x to represent the cost of a soccer ball and y to represent the cost of a soccer bag.

From the first equation, we have 10x + 2y = 155. From the second equation, we have 12x + 3y = 189.

We can solve this system of equations using substitution or elimination method. I will use the elimination method.

Now we can substitute the value of x into one of the equations to find the value of y.

Therefore, the cost of a soccer ball is $14.5 and the cost of a soccer bag is $5.

Answer:

[tex]A'(3,6)[/tex]

Step-by-step explanation:

The given coordinate is [tex]A(2,4)[/tex].

It's important to know that a dilation implies a bigger figure than the original. In this case, we have a factor of dilation of 1.5, which means each coordinate must be multiplied by it.

So, using the factor of dilation, we have

[tex]A(2,4) \implies A'(3,6)[/tex]

Because [tex]2 \times 1.5 = 3[/tex] and [tex]4 \times 1.5 = 6[/tex]

Therefore, the right answer is [tex]A'(3,6)[/tex]

The coordinates of [tex]\( A' \)[/tex] after dilating point [tex]\( A(2, 4) \)[/tex] by a factor of [tex]\( 1.5 \)[/tex] are [tex]\( {(3, 6)} \)[/tex].

To find the coordinates of [tex]\( A' \)[/tex] after dilating point [tex]\( A(2, 4) \)[/tex] by a scale factor of [tex]\( 1.5 \)[/tex], we use the formula for dilation:

If [tex]\( A'(x', y') \)[/tex] is the image of [tex]\( A(x, y) \)[/tex] under dilation with scale factor [tex]\( k \)[/tex], then:

[tex]\[ x' = k \times x \][/tex]

[tex]\[ y' = k \times y \][/tex]

Given:

[tex]\( A(2, 4) \)[/tex]

Scale factor [tex]\( k = 1.5 \)[/tex]

Now, calculate the coordinates of [tex]\( A' \)[/tex]:

[tex]\[ x' = 1.5 \times 2 = 3 \][/tex]

[tex]\[ y' = 1.5 \times 4 = 6 \][/tex]